Numerical methods for differential and integral equations are indispensable in modern applied mathematics and engineering, offering tools to approximate complex physical phenomena where analytical ...

Abstract: The constraints and limits of perturbation methods can be overcome by HAM, and hence allowing us to investigate severely nonlinear issues that would otherwise be impossible to investigate.

ABSTRACT: This paper presents a comprehensive numerical study of the two-dimensional time-dependent heat conduction equation using the Forward Time Centered Space (FTCS) finite difference scheme. The ...

1 Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria. 2 Mathematics Department, Adeyemi College of Education, Ondo, Nigeria. 3 Department of Statistics, Federal ...

1 Naval Research Laboratory, Optical Sciences Division, Washington, DC, United States 2 Department of Mechanical Engineering, George Mason University, Fairfax, VA, United States This paper is a ...

This project explores numerical approaches to solving both the Time-Independent and Time-Dependent Schrödinger Equations (TISE and TDSE) in one and two dimensions using finite difference methods and ...

This paper presents a parameter-uniform numerical method to solve the time dependent singularly perturbed delay parabolic convection-diffusion problems. The solution to these problems displays a ...